Coalitional bargaining games: A new concept of value and coalition formation

We propose a new solution for coalition bargaining problems among n players that can form coalitions C generating heterogenous coalitional values [Formula presented]. The players' values v_i and probability of coalition formation [Formula presented] are given by: where coalition C is chosen only if it maximizes the average gain [Formula presented] and [Formula presented]. This solution is the strong Markov perfect equilibrium of a non-cooperative coalition bargaining game where players choose simultaneously the coalition they want to join followed by negotiations to split the surplus. The solution does not rely on the specification of a proposer recognition protocol. For majority voting games, the solution exhibits more inequality among the values of large and small parties and a concentrated equilibrium coalition formation distribution.